diff options
Diffstat (limited to 'sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S')
| -rw-r--r-- | sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S | 374 |
1 files changed, 0 insertions, 374 deletions
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S deleted file mode 100644 index 8b1b4e74bb..0000000000 --- a/sysdeps/x86_64/fpu/multiarch/svml_s_powf4_core_sse4.S +++ /dev/null @@ -1,374 +0,0 @@ -/* Function powf vectorized with SSE4. - Copyright (C) 2014-2017 Free Software Foundation, Inc. - This file is part of the GNU C Library. - - The GNU C Library is free software; you can redistribute it and/or - modify it under the terms of the GNU Lesser General Public - License as published by the Free Software Foundation; either - version 2.1 of the License, or (at your option) any later version. - - The GNU C Library is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU - Lesser General Public License for more details. - - You should have received a copy of the GNU Lesser General Public - License along with the GNU C Library; if not, see - <http://www.gnu.org/licenses/>. */ - -#include <sysdep.h> -#include "svml_s_powf_data.h" - - .text -ENTRY (_ZGVbN4vv_powf_sse4) -/* - ALGORITHM DESCRIPTION: - - We are using the next identity: pow(x,y) = 2^(y * log2(x)). - - 1) log2(x) calculation - Here we use the following formula. - Let |x|=2^k1*X1, where k1 is integer, 1<=X1<2. - Let C ~= 1/ln(2), - Rcp1 ~= 1/X1, X2=Rcp1*X1, - Rcp2 ~= 1/X2, X3=Rcp2*X2, - Rcp3 ~= 1/X3, Rcp3C ~= C/X3. - Then - log2|x| = k1 + log2(1/Rcp1) + log2(1/Rcp2) + log2(C/Rcp3C) + - log2(X1*Rcp1*Rcp2*Rcp3C/C), - where X1*Rcp1*Rcp2*Rcp3C = C*(1+q), q is very small. - - The values of Rcp1, log2(1/Rcp1), Rcp2, log2(1/Rcp2), - Rcp3C, log2(C/Rcp3C) are taken from tables. - Values of Rcp1, Rcp2, Rcp3C are such that RcpC=Rcp1*Rcp2*Rcp3C - is exactly represented in target precision. - - log2(X1*Rcp1*Rcp2*Rcp3C/C) = log2(1+q) = ln(1+q)/ln2 = - = 1/(ln2)*q - 1/(2ln2)*q^2 + 1/(3ln2)*q^3 - ... = - = 1/(C*ln2)*cq - 1/(2*C^2*ln2)*cq^2 + 1/(3*C^3*ln2)*cq^3 - ... = - = (1 + a1)*cq + a2*cq^2 + a3*cq^3 + ..., - where - cq=X1*Rcp1*Rcp2*Rcp3C-C, - a1=1/(C*ln(2))-1 is small, - a2=1/(2*C^2*ln2), - a3=1/(3*C^3*ln2), - ... - Log2 result is split by three parts: HH+HL+HLL - - 2) Calculation of y*log2(x) - Split y into YHi+YLo. - Get high PH and medium PL parts of y*log2|x|. - Get low PLL part of y*log2|x|. - Now we have PH+PL+PLL ~= y*log2|x|. - - 3) Calculation of 2^(y*log2(x)) - Let's represent PH+PL+PLL in the form N + j/2^expK + Z, - where expK=7 in this implementation, N and j are integers, - 0<=j<=2^expK-1, |Z|<2^(-expK-1). Hence - 2^(PH+PL+PLL) ~= 2^N * 2^(j/2^expK) * 2^Z, - where 2^(j/2^expK) is stored in a table, and - 2^Z ~= 1 + B1*Z + B2*Z^2 ... + B5*Z^5. - We compute 2^(PH+PL+PLL) as follows: - Break PH into PHH + PHL, where PHH = N + j/2^expK. - Z = PHL + PL + PLL - Exp2Poly = B1*Z + B2*Z^2 ... + B5*Z^5 - Get 2^(j/2^expK) from table in the form THI+TLO. - Now we have 2^(PH+PL+PLL) ~= 2^N * (THI + TLO) * (1 + Exp2Poly). - Get significand of 2^(PH+PL+PLL) in the form ResHi+ResLo: - ResHi := THI - ResLo := THI * Exp2Poly + TLO - Get exponent ERes of the result: - Res := ResHi + ResLo: - Result := ex(Res) + N. */ - - pushq %rbp - cfi_adjust_cfa_offset (8) - cfi_rel_offset (%rbp, 0) - movq %rsp, %rbp - cfi_def_cfa_register (%rbp) - andq $-64, %rsp - subq $256, %rsp - movaps %xmm0, %xmm3 - movhlps %xmm0, %xmm3 - movaps %xmm1, %xmm5 - movups %xmm8, 112(%rsp) - movaps %xmm5, %xmm2 - cvtps2pd %xmm3, %xmm8 - cvtps2pd %xmm5, %xmm7 - movups %xmm9, 96(%rsp) - movaps %xmm0, %xmm4 - cvtps2pd %xmm0, %xmm9 - movq __svml_spow_data@GOTPCREL(%rip), %rdx - movups %xmm10, 176(%rsp) - movups %xmm13, 48(%rsp) - movups _ExpMask(%rdx), %xmm6 - -/* preserve mantissa, set input exponent to 2^(-10) */ - movaps %xmm6, %xmm10 - andps %xmm8, %xmm6 - andps %xmm9, %xmm10 - -/* exponent bits selection */ - psrlq $20, %xmm9 - orps _Two10(%rdx), %xmm6 - psrlq $20, %xmm8 - orps _Two10(%rdx), %xmm10 - -/* reciprocal approximation good to at least 11 bits */ - cvtpd2ps %xmm6, %xmm13 - cvtpd2ps %xmm10, %xmm1 - movlhps %xmm13, %xmm13 - movhlps %xmm5, %xmm2 - movlhps %xmm1, %xmm1 - movups %xmm12, 208(%rsp) - rcpps %xmm13, %xmm12 - movups %xmm11, 80(%rsp) - cvtps2pd %xmm2, %xmm11 - rcpps %xmm1, %xmm2 - movups %xmm14, 144(%rsp) - cvtps2pd %xmm12, %xmm14 - movups %xmm15, 160(%rsp) - cvtps2pd %xmm2, %xmm15 - shufps $221, %xmm8, %xmm9 - -/* round reciprocal to nearest integer, will have 1+9 mantissa bits */ - roundpd $0, %xmm14, %xmm14 - -/* biased exponent in DP format */ - pshufd $238, %xmm9, %xmm8 - roundpd $0, %xmm15, %xmm15 - cvtdq2pd %xmm8, %xmm1 - mulpd %xmm15, %xmm10 - mulpd %xmm14, %xmm6 - cvtdq2pd %xmm9, %xmm2 - subpd _One(%rdx), %xmm10 - subpd _One(%rdx), %xmm6 - -/* table lookup */ - movaps %xmm14, %xmm8 - movaps %xmm15, %xmm9 - psrlq $40, %xmm8 - psrlq $40, %xmm9 - movd %xmm8, %r8d - movd %xmm9, %eax - psubd _NMINNORM(%rdx), %xmm4 - movdqu _ABSMASK(%rdx), %xmm3 - pextrd $2, %xmm8, %r9d - pand %xmm5, %xmm3 - movups _Threshold(%rdx), %xmm8 - pextrd $2, %xmm9, %ecx - movaps %xmm8, %xmm9 - cmpltpd %xmm15, %xmm9 - cmpltpd %xmm14, %xmm8 - andps _Bias(%rdx), %xmm9 - movaps %xmm10, %xmm14 - andps _Bias(%rdx), %xmm8 - movaps %xmm6, %xmm15 - orps _Bias1(%rdx), %xmm9 - orps _Bias1(%rdx), %xmm8 - subpd %xmm9, %xmm2 - subpd %xmm8, %xmm1 - mulpd %xmm10, %xmm14 - mulpd %xmm6, %xmm15 - mulpd _L2(%rdx), %xmm2 - mulpd _L2(%rdx), %xmm1 - movups _poly_coeff_3(%rdx), %xmm9 - movaps %xmm9, %xmm8 - mulpd %xmm10, %xmm8 - mulpd %xmm6, %xmm9 - addpd _poly_coeff_4(%rdx), %xmm8 - addpd _poly_coeff_4(%rdx), %xmm9 - mulpd %xmm14, %xmm8 - mulpd %xmm15, %xmm9 - -/* reconstruction */ - addpd %xmm8, %xmm10 - addpd %xmm9, %xmm6 - movslq %eax, %rax - movslq %r8d, %r8 - movslq %ecx, %rcx - movslq %r9d, %r9 - movsd _Log2Rcp_lookup(%rdx,%rax), %xmm13 - movsd _Log2Rcp_lookup(%rdx,%r8), %xmm12 - movhpd _Log2Rcp_lookup(%rdx,%rcx), %xmm13 - movhpd _Log2Rcp_lookup(%rdx,%r9), %xmm12 - addpd %xmm10, %xmm13 - addpd %xmm6, %xmm12 - addpd %xmm13, %xmm2 - addpd %xmm12, %xmm1 - mulpd %xmm7, %xmm2 - mulpd %xmm11, %xmm1 - movups __dbInvLn2(%rdx), %xmm11 - movdqa %xmm4, %xmm12 - movaps %xmm11, %xmm10 - mulpd %xmm2, %xmm10 - mulpd %xmm1, %xmm11 - -/* to round down; if dR is an integer we will get R = 1, which is ok */ - movaps %xmm10, %xmm8 - movaps %xmm11, %xmm9 - subpd __dbHALF(%rdx), %xmm8 - subpd __dbHALF(%rdx), %xmm9 - addpd __dbShifter(%rdx), %xmm8 - addpd __dbShifter(%rdx), %xmm9 - movaps %xmm8, %xmm6 - movaps %xmm9, %xmm7 - subpd __dbShifter(%rdx), %xmm6 - subpd __dbShifter(%rdx), %xmm7 - -/* [0..1) */ - subpd %xmm6, %xmm10 - subpd %xmm7, %xmm11 - mulpd __dbC1(%rdx), %xmm10 - mulpd __dbC1(%rdx), %xmm11 - -/* hi bits */ - shufps $221, %xmm1, %xmm2 - movdqu _NMAXVAL(%rdx), %xmm1 - pcmpgtd %xmm1, %xmm12 - pcmpeqd %xmm1, %xmm4 - por %xmm4, %xmm12 - movdqa %xmm3, %xmm1 - movdqu _INF(%rdx), %xmm4 - pcmpgtd %xmm4, %xmm1 - pcmpeqd %xmm4, %xmm3 - -/* iAbsX = iAbsX&iAbsMask */ - pand __iAbsMask(%rdx), %xmm2 - por %xmm3, %xmm1 - -/* iRangeMask = (iAbsX>iDomainRange) */ - pcmpgtd __iDomainRange(%rdx), %xmm2 - por %xmm1, %xmm12 - movups __lbLOWKBITS(%rdx), %xmm3 - por %xmm2, %xmm12 - -/* low K bits */ - movaps %xmm3, %xmm2 - andps %xmm9, %xmm3 - andps %xmm8, %xmm2 - psrlq $11, %xmm8 - -/* dpP= _dbT+lJ*T_ITEM_GRAN */ - movd %xmm2, %r10d - psrlq $11, %xmm9 - movd %xmm3, %ecx - -/* NB : including +/- sign for the exponent!! */ - psllq $52, %xmm8 - psllq $52, %xmm9 - pextrw $4, %xmm2, %r11d - pextrw $4, %xmm3, %r8d - movmskps %xmm12, %eax - shll $3, %r10d - shll $3, %ecx - shll $3, %r11d - shll $3, %r8d - movq 13952(%rdx,%r10), %xmm6 - movq 13952(%rdx,%rcx), %xmm7 - movhpd 13952(%rdx,%r11), %xmm6 - movhpd 13952(%rdx,%r8), %xmm7 - mulpd %xmm6, %xmm10 - mulpd %xmm7, %xmm11 - addpd %xmm10, %xmm6 - addpd %xmm11, %xmm7 - paddq %xmm8, %xmm6 - paddq %xmm9, %xmm7 - cvtpd2ps %xmm6, %xmm1 - cvtpd2ps %xmm7, %xmm4 - movlhps %xmm4, %xmm1 - testl %eax, %eax - jne .LBL_1_3 - -.LBL_1_2: - cfi_remember_state - movups 112(%rsp), %xmm8 - movaps %xmm1, %xmm0 - movups 96(%rsp), %xmm9 - movups 176(%rsp), %xmm10 - movups 80(%rsp), %xmm11 - movups 208(%rsp), %xmm12 - movups 48(%rsp), %xmm13 - movups 144(%rsp), %xmm14 - movups 160(%rsp), %xmm15 - movq %rbp, %rsp - cfi_def_cfa_register (%rsp) - popq %rbp - cfi_adjust_cfa_offset (-8) - cfi_restore (%rbp) - ret - -.LBL_1_3: - cfi_restore_state - movups %xmm0, 64(%rsp) - movups %xmm5, 128(%rsp) - movups %xmm1, 192(%rsp) - je .LBL_1_2 - - xorb %cl, %cl - xorl %edx, %edx - movq %rsi, 8(%rsp) - movq %rdi, (%rsp) - movq %r12, 40(%rsp) - cfi_offset_rel_rsp (12, 40) - movb %cl, %r12b - movq %r13, 32(%rsp) - cfi_offset_rel_rsp (13, 32) - movl %eax, %r13d - movq %r14, 24(%rsp) - cfi_offset_rel_rsp (14, 24) - movl %edx, %r14d - movq %r15, 16(%rsp) - cfi_offset_rel_rsp (15, 16) - cfi_remember_state - -.LBL_1_6: - btl %r14d, %r13d - jc .LBL_1_12 - -.LBL_1_7: - lea 1(%r14), %esi - btl %esi, %r13d - jc .LBL_1_10 - -.LBL_1_8: - incb %r12b - addl $2, %r14d - cmpb $16, %r12b - jb .LBL_1_6 - - movq 8(%rsp), %rsi - movq (%rsp), %rdi - movq 40(%rsp), %r12 - cfi_restore (%r12) - movq 32(%rsp), %r13 - cfi_restore (%r13) - movq 24(%rsp), %r14 - cfi_restore (%r14) - movq 16(%rsp), %r15 - cfi_restore (%r15) - movups 192(%rsp), %xmm1 - jmp .LBL_1_2 - -.LBL_1_10: - cfi_restore_state - movzbl %r12b, %r15d - movss 68(%rsp,%r15,8), %xmm0 - movss 132(%rsp,%r15,8), %xmm1 - - call JUMPTARGET(__powf_finite) - - movss %xmm0, 196(%rsp,%r15,8) - jmp .LBL_1_8 - -.LBL_1_12: - movzbl %r12b, %r15d - movss 64(%rsp,%r15,8), %xmm0 - movss 128(%rsp,%r15,8), %xmm1 - - call JUMPTARGET(__powf_finite) - - movss %xmm0, 192(%rsp,%r15,8) - jmp .LBL_1_7 - -END (_ZGVbN4vv_powf_sse4) |